Central limit theorems for the large-spin asymptotics of quantum spins

Abstract

We use a generalized form of Dyson's spin wave formalism to prove several central limit theorems for the large-spin asymptotics of quantum spins in a coherent state.

28 pages, uses package amsrefs

References in corpus (4)

• Goldstone Boson Normal Coordinates
• The large-spin asymptotics of the ferromagnetic XXZ chain
• Mathematical Structure of Magnons in Quantum Ferromagnets
• A tracial quantum central limit theorem

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• Orbital ordering in transition-metal compounds: I. The 120-degree model
• Convergence rates for the quantum central limit theorem
• Quantum spin systems at positive temperature
• Stabilizer Testing and Magic Entropy via Quantum Fourier Analysis
• The Free Energy of the Quantum Heisenberg Ferromagnet at Large Spin
• Quantum Ruzsa Divergence to Quantify Magic
• The Spectral Gap and Low-Energy Spectrum in Mean-Field Quantum Spin Systems
• Quantum Spin Systems after DLS1978